3957625 has 16 divisors (see below), whose sum is σ = 5645952. Its totient is φ = 2713200.

The previous prime is 3957571. The next prime is 3957637. The reversal of 3957625 is 5267593.

It is not a de Polignac number, because 3957625 - 2¹³ = 3949433 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1387 + ... + 3136.

It is an arithmetic number, because the mean of its divisors is an integer number (352872).

Almost surely, 2^3957625 is an apocalyptic number.

3957625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3957625 is a deficient number, since it is larger than the sum of its proper divisors (1688327).

3957625 is an equidigital number, since it uses as much as digits as its factorization.

3957625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4545 (or 4535 counting only the distinct ones).

The product of its digits is 56700, while the sum is 37.

The square root of 3957625 is about 1989.3780435101. The cubic root of 3957625 is about 158.1775630219.

It can be divided in two parts, 39576 and 25, that added together give a square (39601 = 199²).

The spelling of 3957625 in words is "three million, nine hundred fifty-seven thousand, six hundred twenty-five".